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Finding the Third Proportional to 5,275.13 and 11,523.94

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Solution

The third proportional to 5,275.13 and 11,523.94 is: 25,174.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,275.13 : 11,523.94 = 11,523.94 : x
  2. Step 2: Convert to fraction form
    5,275.13/11,523.94 = 11,523.94/x
  3. Step 3: Cross multiply
    5,275.13x = 11,523.94 × 11,523.94
  4. Step 4: Simplify right side
    5,275.13x = 132,801,135.50
  5. Step 5: Solve for x
    x = 132,801,135.50/5,275.13
  6. Step 6: Final answer
    x = 25,174.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.